Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 15 having a common attribute. The second sample consists of 2200 people with 1547 of them having the same common attribute. Compare the results from a hypothesis test of p1 = p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1− p2.
Two different simple random samples are drawn from two different populations. The first sample consists of
30 people with 15 having a common attribute. The second sample consists of 2200 people with 1547 of them having the same common attribute. Compare the results from a hypothesis test of p1 = p2 (with a 0.05 significance level) and a 95% confidence
What are the null and alternative hypotheses for the hypothesis test?
Identify the test statistic.
(round to two decimal places as needed)
Identify the critical value(s).
( round to three decimal points as needed. Use a comma to separate the answers as needed)
What is the conclusion based on the hypothesis test?
The test statistic is _____(in/not in) the critical region, so _________ ( fail to reject/reject) the null hypothesis. There is __________ (insufficient/sufficient) evidence to conclude that p1 ≠ p2
The 95% confidence interval is _____ < (p1−p2) < _______
What is the conclusion based on the confidence interval?
Since 0 is ______ (included/not included) in the interval, it indicates to _______ (reject/fail to reject) the null hypothesis.
How do the results from the hypothesis test and the confidence interval compare?
The results are _____ ( the same/different) , since the hypothesis test suggests that
P1 ___________ P2 and the confidence interval suggests that P1______P2
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